Prime p₀= 741709269138316991 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 34 2 142 2 34 2 28 2 (?)
a_n: 0 2 30 32 66 68 210 212 246 248 276 278
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Theadalus
db: batch=73, k=12, 2 28 2 34 2 142

SPT(16)	741708011802692029	0 28 34 84 112 160 222 228 274 280 342 390 418 468 474 502	-1257335624962
SPT(16)	741708240727336523	0 14 50 110 116 146 236 284 330 378 468 498 504 564 600 614	-1028410980468
STPT(10)	741708243621402221	0 2 48 50 108 110 168 170 216 218	-1025516914770
SPT(16)	741708414997154729	0 38 132 150 152 174 204 210 242 248 278 300 302 320 414 452	-854141162262
SPT(16)	741708916706624099	0 38 48 62 78 98 150 182 210 242 294 314 330 344 354 392	-352431692892
SPT(16)	741709152541609627	0 4 12 22 46 60 70 82 144 156 166 180 204 214 222 226	-116596707364
SPT(16)	741709323669692561	0 50 66 78 86 108 122 138 140 156 170 192 200 212 228 278	54531375570
STPT(10)	741709974805917449	0 2 12 14 90 92 168 170 180 182	705667600458
SPT(16)	741710010847792991	0 32 86 92 96 98 110 116 222 228 240 242 246 252 306 338	741709476000
SPT(16)	741710024868538793	0 8 30 96 144 198 204 210 254 260 266 320 368 434 456 464	755730221802
TPT(14)	741710127921241991	0 2 30 32 120 122 150 152 330 332 408 410 420 422	858782925000